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Finding the Fourth Proportional to 263,101.59, 394,751.81 and 157,993.83

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Solution

The fourth proportional to 263,101.59, 394,751.81 and 157,993.83 is: 237,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,101.59 : 394,751.81 = 157,993.83 : x
  2. Step 2: Convert to fraction form
    263,101.59/394,751.81 = 157,993.83/x
  3. Step 3: Cross multiply
    263,101.59x = 394,751.81 × 157,993.83
  4. Step 4: Simplify right side
    263,101.59x = 62,368,349,571.36
  5. Step 5: Solve for x
    x = 62,368,349,571.36/263,101.59
  6. Step 6: Final answer
    x = 237,050.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.